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Frequency polygons practice questions with answers

Foundation · Grade 2 · Non-calculator

A second set of frequency polygons questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

A class runs from 30 to 34 and has frequency 9. What are the coordinates of its point on a frequency polygon?

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Answer: (32, 9)

  1. The midpoint of 30 to 34 is (30 + 34) ÷ 2 = 32.
  2. The frequency 9 is the height of the point.
  • Method (1): The midpoint of 30 to 34 is (30 + 34) ÷ 2 = 32.
  • Accuracy (1): Answer (32, 9)

Question 2 Easy

A frequency polygon has points with frequencies 4, 10 and 7. What is the total frequency?

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Answer: 21

  1. The total frequency is the sum of the heights: 4 + 10 + 7.
  2. 4 + 10 = 14, then 14 + 7 = 21.
  • Method (1): The total frequency is the sum of the heights: 4 + 10 + 7.
  • Accuracy (1): Answer 21

Question 3 Medium

A class runs from 15 to 27 and has frequency 4. What are the coordinates of its point on a frequency polygon?

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Answer: (21, 4)

  1. The midpoint of 15 to 27 is (15 + 27) ÷ 2 = 21.
  2. The frequency 4 is the height of the point.
  • Method (1): The midpoint of 15 to 27 is (15 + 27) ÷ 2 = 21.
  • Accuracy (1): Answer (21, 4)

Question 4 Medium

A frequency polygon has points with frequencies 3, 11 and 8. What is the total frequency?

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Answer: 22

  1. The total frequency is the sum of the heights: 3 + 11 + 8.
  2. 3 + 11 = 14, then 14 + 8 = 22.
  • Method (1): The total frequency is the sum of the heights: 3 + 11 + 8.
  • Accuracy (1): Answer 22

Question 5 Hard

A class runs from 35 to 45 and has frequency 8. What are the coordinates of its point on a frequency polygon?

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Answer: (40, 8)

  1. The midpoint of 35 to 45 is (35 + 45) ÷ 2 = 40.
  2. The frequency 8 is the height of the point.
  • Method (1): The midpoint of 35 to 45 is (35 + 45) ÷ 2 = 40.
  • Accuracy (1): Answer (40, 8)

Question 6 Hard

A frequency polygon has points with frequencies 7, 5 and 9. What is the total frequency?

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Answer: 21

  1. The total frequency is the sum of the heights: 7 + 5 + 9.
  2. 7 + 5 = 12, then 12 + 9 = 21.
  • Method (1): The total frequency is the sum of the heights: 7 + 5 + 9.
  • Accuracy (1): Answer 21

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

A class on a frequency polygon runs from 15 to 21. What is the midpoint of the class?

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Answer: 18

  1. The ends of the class are 15 and 21, and they add to 15 + 21 = 36.
  2. Halve it: 36 ÷ 2 = 18.
  3. The midpoint is 18.
  • Method (1): The ends of the class are 15 and 21, and they add to 15 + 21 = 36.
  • Accuracy (1): Answer 18

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

A class on a frequency polygon runs from 35 to 39. What is the midpoint of the class?

  1. 37
  2. 39
  3. 47
Show answer

37 The result is 37.

Check 2

A class runs from 5 to 11 and has frequency 7. What are the coordinates of its point on a frequency polygon?

  1. (8, 7)
  2. (11, 7)
  3. (7, 8)
Show answer

(8, 7) The result is (8, 7).

Check 3

A frequency polygon has points with frequencies 5, 7 and 7. What is the total frequency?

  1. 19
  2. 21
  3. 29
Show answer

19 The result is 19.

Check 4

Two frequency polygons use the same classes. Group A has frequencies 11 and 8. Group B has frequencies 8 and 5. How many more people are in group A than in group B?

  1. 6
  2. 8
  3. 16
Show answer

6 The result is 6.

Check 5

A class on a frequency polygon runs from 20 to 32. What is the midpoint of the class?

  1. 26
  2. 28
  3. 36
Show answer

26 The result is 26.

Check 6

A class runs from 25 to 29 and has frequency 11. What are the coordinates of its point on a frequency polygon?

  1. (27, 11)
  2. (29, 11)
  3. (11, 27)
Show answer

(27, 11) The result is (27, 11).

Check 7

A frequency polygon has points with frequencies 4, 8 and 8. What is the total frequency?

  1. 20
  2. 22
  3. 30
Show answer

20 The result is 20.

Check 8

Two frequency polygons use the same classes. Group A has frequencies 11 and 9. Group B has frequencies 10 and 7. How many more people are in group A than in group B?

  1. 3
  2. 5
  3. 13
Show answer

3 The result is 3.

Check 9

A class on a frequency polygon runs from 5 to 15. What is the midpoint of the class?

  1. 10
  2. 12
  3. 20
Show answer

10 The result is 10.

Check 10

A class runs from 10 to 22 and has frequency 6. What are the coordinates of its point on a frequency polygon?

  1. (16, 6)
  2. (22, 6)
  3. (6, 16)
Show answer

(16, 6) The result is (16, 6).

Check 11

A frequency polygon has points with frequencies 3, 9 and 9. What is the total frequency?

  1. 21
  2. 23
  3. 31
Show answer

21 The result is 21.

Check 12

Two frequency polygons use the same classes. Group A has frequencies 11 and 10. Group B has frequencies 9 and 7. How many more people are in group A than in group B?

  1. 5
  2. 7
  3. 15
Show answer

5 The result is 5.

Check 13

A class on a frequency polygon runs from 25 to 33. What is the midpoint of the class?

  1. 29
  2. 31
  3. 39
Show answer

29 The result is 29.

Check 14

A class runs from 30 to 40 and has frequency 10. What are the coordinates of its point on a frequency polygon?

  1. (35, 10)
  2. (40, 10)
  3. (10, 35)
Show answer

(35, 10) The result is (35, 10).

Check 15

A frequency polygon has points with frequencies 7, 10 and 6. What is the total frequency?

  1. 23
  2. 25
  3. 33
Show answer

23 The result is 23.

Keep going with Frequency polygons

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